Final answer:
The correct answer provides the universal sets for Samsung phones (all Samsung cellular phones), girls playing badminton (all girls who play badminton), colors of the rainbow (all colors seen in a rainbow)
Step-by-step explanation:
The correct answer is that a universal set is a set that contains all objects from the context of a particular discussion or problem.
In set theory and mathematics, the universal set is often denoted by the symbol U or sometimes ξ. Knowing this, here are the appropriate universal sets for each given situation:
- The set of Samsung cellular phones: The universal set could be all cellular phones manufactured by Samsung.
- The set of girls playing badminton: The universal set could be all girls who play badminton, regardless of the level of competition or location.
- The set of colors of the rainbow: The universal set would be all the colors that can be seen in a rainbow, typically red, orange, yellow, green, blue, indigo, and violet.
- The set of prime numbers between 0 and 10: The universal set here would be the set of all prime numbers, which in this case are the numbers 2, 3, 5, and 7.